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anonymous
 4 years ago
Find the values of the constants m and b, for which y=mx + b is a solution to this equation y'=1/2x + y  1
anonymous
 4 years ago
Find the values of the constants m and b, for which y=mx + b is a solution to this equation y'=1/2x + y  1

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Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.1You need to find values of \(m \text{ and }b\) that satisfy the equation \[m=\frac{1}{2}x+mx+b1 \implies x(\frac{1}{2}+m)+b1=m\] Now, equate coefficients, you get the system: \[\frac{1}{2}+m=0 \implies m=\frac{1}{2}\] \[b1=m \implies b=m+1=\frac{1}{2}.\] So, \(m=\frac{1}{2}\) and \(b=\frac{1}{2}\).
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